(x-1)(x+2)/12-(x-1)(x+2)/6-1=x/3-1

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Solution for (x-1)(x+2)/12-(x-1)(x+2)/6-1=x/3-1 equation:


x in (-oo:+oo)

((x-1)*(x+2))/12-(((x-1)*(x+2))/6)-1 = x/3-1 // - x/3-1

((x-1)*(x+2))/12-(((x-1)*(x+2))/6)-(x/3)-1+1 = 0

((x-1)*(x+2))/12+(-1*(x-1)*(x+2))/6-x/3-1+1 = 0

(3*6*(x-1)*(x+2))/(3*6*12)+(-1*3*12*(x-1)*(x+2))/(3*6*12)+(6*12*(-x))/(3*6*12)+(-1*3*6*12)/(3*6*12)+(1*3*6*12)/(3*6*12) = 0

3*6*(x-1)*(x+2)-1*3*12*(x-1)*(x+2)+6*12*(-x)-1*3*6*12+1*3*6*12 = 0

36-18*x^2-18*x-72*x-216+216 = 0

36-18*x^2-90*x-216+216 = 0

216-18*x^2-90*x-180 = 0

36-18*x^2-90*x = 0

36-18*x^2-90*x = 0

18*(2-x^2-5*x) = 0

2-x^2-5*x = 0

DELTA = (-5)^2-(-1*2*4)

DELTA = 33

DELTA > 0

x = (33^(1/2)+5)/(-1*2) or x = (5-33^(1/2))/(-1*2)

x = (33^(1/2)+5)/(-2) or x = (5-33^(1/2))/(-2)

18*(x-((33^(1/2)+5)/(-2)))*(x-((5-33^(1/2))/(-2))) = 0

(18*(x-((33^(1/2)+5)/(-2)))*(x-((5-33^(1/2))/(-2))))/(3*6*12) = 0

(18*(x-((33^(1/2)+5)/(-2)))*(x-((5-33^(1/2))/(-2))))/(3*6*12) = 0 // * 3*6*12

18*(x-((33^(1/2)+5)/(-2)))*(x-((5-33^(1/2))/(-2))) = 0

( x-((33^(1/2)+5)/(-2)) )

x-((33^(1/2)+5)/(-2)) = 0 // + (33^(1/2)+5)/(-2)

x = (33^(1/2)+5)/(-2)

( x-((5-33^(1/2))/(-2)) )

x-((5-33^(1/2))/(-2)) = 0 // + (5-33^(1/2))/(-2)

x = (5-33^(1/2))/(-2)

x in { (33^(1/2)+5)/(-2), (5-33^(1/2))/(-2) }

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